Number and Quantity 
 apply elementary number concepts, including identifying patterns pictorially and numerically (e.g., triangular numbers, arithmetic and geometric sequences), ordering integers, and identifying factors of whole numbers
 recognize, identify, and apply basic properties of real numbers (e.g., commutative, associative, identities)
 describe the distance between zero and a point on the number line
 measure and describe, with appropriate units, the distance between two points
 arrange data into meaningful arrays
 identify the dimensions of a matrix

Algebra and Functions 
 solve routine mathematical problems that involve rates, proportions, and percents
 model realworld and mathematical problems that contain verbal and symbolic representations of money
 do multistep computations with rational numbers
 generate expressions using combinations of symbols and numbers
 describe realworld and mathematical problems associated with incremental change by using rate and/or slope language (e.g., feet per second, dollars per hour, change in y over change in x)

Algebra 
 evaluate algebraic expressions and solve simple equations, using integers
 multiply two simple monomials
 apply the distributive property to multiply a simple monomial by a binomial

Functions 
 recognize functions as mappings of an independent variable into a dependent variable
 distinguish between domain and range
 use function notation to create equations that model realworld and mathematical problems
 evaluate polynomial functions that use function notation

Geometry 
 describe angles and triangles using mathematical terminology, and apply their properties
 use angle relationships (e.g., complementary, adjacent, vertical) to find measures of unknown angles
 sketch and identify the midpoint of a line segment
 find area and perimeter of triangles and rectangles by substituting given values into standard geometric formulas
 describe movement in the coordinate plane using positive and negative values

Statistics and Probability 
 read and interpret data and use appropriate measures of central tendency to find unknown values
 gather, organize, display, and analyze data in a variety of ways for use in problem solving
 use a variety of strategies (e.g., fundamental counting principle) to determine possible outcomes for simple events
 conduct simple probability experiments, and represent results using different displays (e.g., tree diagrams, organized lists)
